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A Machian model of dark energy

R G Vishwakarma1

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Einstein believed that Mach's principle should play a major role in finding a meaningful spacetime geometry, though it was discovered later that his field equations gave some solutions which were not Machian. It is shown in this paper that the kinematical Λ models, which are invoked to solve the cosmological constant problem, are in fact consistent with Mach's ideas. One particular model in this category is described, which results from the microstructure of spacetime and seems to explain the current observations successfully and also has some benefits over the conventional models. This forces one to think about whether Mach's ideas and the cosmological constant are interrelated in some way.


PACS

95.35.+d Dark matter (stellar, interstellar, galactic, and cosmological)

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

04.60.Pp Loop quantum gravity, quantum geometry, spin foams

04.20.Gz Spacetime topology, causal structure, spinor structure

MSC

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

83F05 Cosmology

83C75 Space-time singularities, cosmic censorship, etc.

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 18 (21 September 2002)

Received 22 May 2002, in final form 19 July 2002

Published 2 September 2002



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